What are the following sequence of steps taken in designing a fuzzy logic…

2016

What are the following sequence of steps taken in designing a fuzzy logic machine ?

  1. A.

    Fuzzification → Rule evaluation → Defuzzification

  2. B.

    Fuzzification → Defuzzification → Rule evaluation

  3. C.

    Rule evaluation → Fuzzification → Defuzzification

  4. D.

    Rule evaluation → Defuzzification → Fuzzification

Attempted by 90 students.

Show answer & explanation

Correct answer: A

Correct sequence: Fuzzification → Rule evaluation → Defuzzification

Step-by-step explanation:

  • Fuzzification: Convert crisp (precise) input values into degrees of membership in predefined fuzzy sets. This produces the fuzzy inputs needed for inference.

  • Rule evaluation (fuzzy inference): Apply the fuzzy rules to the fuzzified inputs, combine results (using fuzzy operators), and aggregate the fuzzy outputs for each rule.

  • Defuzzification: Convert the aggregated fuzzy output set into a single crisp (numeric) output. Common methods include centroid (center of gravity) and mean of maxima.

Why this order matters: Fuzzification must come first to produce fuzzy inputs for the rules; rule evaluation produces fuzzy outputs that must then be defuzzified to obtain a usable crisp decision.

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